Blaschke inductive limits of uniform algebras.
Boundaries for Natural Systems II.
Boundaries in inductive limit topological algebras.
Boundaries of weak peak points in noncommutative algebras of Lipschitz functions
It has been shown that any Banach algebra satisfying ‖f 2‖ = ‖f‖2 has a representation as an algebra of quaternion-valued continuous functions. Whereas some of the classical theory of algebras of continuous complex-valued functions extends immediately to algebras of quaternion-valued functions, similar work has not been done to analyze how the theory of algebras of complex-valued Lipschitz functions extends to algebras of quaternion-valued Lipschitz functions. Denote by Lip(X, ) the algebra over...